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Delay Equations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 061/5 ( reviews)

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Book Synopsis Delay Equations by : Odo Diekmann

Download or read book Delay Equations written by Odo Diekmann. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The aim here is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple - yet rich - class of examples, delay differential equations. This textbook contains detailed proofs and many exercises, intended both for self-study and for courses at graduate level, as well as a reference for basic results. As the subtitle indicates, this book is about concepts, ideas, results and methods from linear functional analysis, complex function theory, the qualitative theory of dynamical systems and nonlinear analysis. The book provides the reader with a working knowledge of applied functional analysis and dynamical systems.

An Introduction to Delay Differential Equations with Applications to the Life Sciences

2010-09-29 Mathematics
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Release : 2010-09-29
Genre : Mathematics
Kind : eBook
Book Rating : 469/5 ( reviews)

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Book Synopsis An Introduction to Delay Differential Equations with Applications to the Life Sciences by : hal smith

Download or read book An Introduction to Delay Differential Equations with Applications to the Life Sciences written by hal smith. This book was released on 2010-09-29. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly. The author has used preliminary notes in teaching such a course at Arizona State University over the past two years. This book focuses on the key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models involving delay differential equations. The book begins with a survey of mathematical models involving delay equations.

Ordinary and Delay Differential Equations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 678/5 ( reviews)

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Book Synopsis Ordinary and Delay Differential Equations by : R. D. Driver

Download or read book Ordinary and Delay Differential Equations written by R. D. Driver. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for the intermediate-level course on ordinary differential equations offered at many universities and colleges. It treats, as standard topics of such a course: existence and uniqueness theory, linear s- terns, stability theory, and introductory phase-plane analysis of autonomous second order systems. The unique feature of the book is its further inc- sion of a substantial introduction to delay differential eq- tions. Such equations are motivated by problems in control theory, physics, biology, ecology, economics, inventory c- trol, and the theory of nuclear reactors. The surge of interest in delay differential equations during the past two or three decades is evidenced by th- sands of research papers on the subject and about 20 published books devoted in whole or in part to these equations. The v * ... books include those of Myskis [1951], El' sgol' c [1955] and [1964], Pinney [1958], Krasovskil [1959], Bellman and Cooke [1963], Norkin [1965], Halanay [1966], Oguztoreli [1966], Lakshmikantham and Leela [1969], Mitropol'skir and Martynjuk [1969], Martynjuk [1971], and Hale [1971], plus a number of symposium and seminar proceedings published in the U.S. and the U.S.S.R. These books have influenced the present textbook.

Delay Differential Equations

2009-04-05 Technology & Engineering
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Release : 2009-04-05
Genre : Technology & Engineering
Kind : eBook
Book Rating : 955/5 ( reviews)

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Book Synopsis Delay Differential Equations by : Balakumar Balachandran

Download or read book Delay Differential Equations written by Balakumar Balachandran. This book was released on 2009-04-05. Available in PDF, EPUB and Kindle. Book excerpt: Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Students and researchers will benefit from a unique focus on theory, symbolic, and numerical methods, which illustrate how the concepts described can be applied to practical systems ranging from automotive engines to remote control over the Internet. Comprehensive coverage of recent advances, analytical contributions, computational techniques, and illustrative examples of the application of current results drawn from biology, physics, mechanics, and control theory. Students, engineers and researchers from various scientific fields will find Delay Differential Equations: Recent Advances and New Directions a valuable reference.

Applied Delay Differential Equations

2009-03-06 Mathematics
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Release : 2009-03-06
Genre : Mathematics
Kind : eBook
Book Rating : 723/5 ( reviews)

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Book Synopsis Applied Delay Differential Equations by : Thomas Erneux

Download or read book Applied Delay Differential Equations written by Thomas Erneux. This book was released on 2009-03-06. Available in PDF, EPUB and Kindle. Book excerpt: Applied Delay Differential Equations is a friendly introduction to the fast-growing field of time-delay differential equations. Written to a multi-disciplinary audience, it sets each area of science in his historical context and then guides the reader towards questions of current interest.

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